Weak* continuous states on Banach algebras

2008/08/14 by Bojan Magajna, Magajna, Bojan
Mathematics · #46B10 #46H05 #47B44 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Mathematics #Pure mathematics #Spectral Theory in Mathematical Physics #math.FA #msc:46B10 #msc:46H05 #msc:47B44

paper · pdf · doi:10.48550/arxiv.0808.2037

5 pages

arxiv created 2008/08/14 · openalex publication_date 2008/08/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We prove that if a unital Banach algebra A is the dual of a Banach space \pdA, then the set of weak* continuous states is weak* dense in the set of all states on A. Further, weak* continuous states linearly span \pdA.

Citations

• Dual operator systems

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